1. Introduction The major conclusions concerning light open mappings as applied to 2-dimensional manifolds are: (1) the scattered inverse property--counter images. of points are sets having no limit points, (2) the invariance of manifold— the image set is likewise a 2-manifold, (3) the local topological analysis—locally the mapping is equivalent to a power mapping or to a power mapping folic wed by a reflection, (4) the existence of a constant degree for compact mappings, (5) the characteristic equation kX(B) - X(A) = kr - n connecting the Euler characteristics of the original and image (compact closed) manifolds, the degree k and the numbers r of singular points on B and r. of their inverse image points on A, and (6) dimensionality preservation for arbitrary open mappings**.
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